%% dx = (0.0625,0.0625)
solution = [
0 0 1.6263e-19 -3.63099e-16 1.06264e-15 5.19193e-15 -1.33243e-15 -2.62865e-15 4.21757e-15 -2.10929e-15 -1.26069e-15 5.06331e-15 -1.04704e-14 1.55928e-14 2.76442e-15 -9.38542e-16 0 
-2.1684e-19 1.82801e-05 6.72612e-05 0.000147007 0.000257238 0.000396909 0.000563634 0.000753718 0.000965044 0.00120393 0.00147855 0.00179741 0.00215537 0.0025471 0.00296993 0.00342298 0.00390625 
5.82759e-17 6.68943e-05 0.000256346 0.000568704 0.00100384 0.00156022 0.00223306 0.00301207 0.00388617 0.00487457 0.00599514 0.00727886 0.008702 0.0102511 0.0119216 0.0137127 0.015625 
9.97466e-17 0.000145539 0.000566663 0.00126436 0.00223953 0.00349209 0.00501702 0.00679278 0.00876818 0.011007 0.0135224 0.0164356 0.0196393 0.0231133 0.0268562 0.0308698 0.0351562 
3.64498e-15 0.000253776 0.00099714 0.00223184 0.00396079 0.00618917 0.00892343 0 0 0 0 0.0292691 0.0349755 0.0411387 0.0477761 0.0548952 0.0625 
-8.1532e-16 0.000391222 0.00154663 0.00346802 0.00615919 0.0096316 0 0 0 0 0 0 0.0547377 0.0643356 0.0746839 0.0857898 0.0976562 
2.1207e-16 0.00055794 0.00221515 0.00497202 0.00882756 0.0137733 0 0 0 0 0 0 0.0789295 0.0927023 0.107579 0.123553 0.140625 
8.74301e-16 0.000754539 0.0030047 0.00675066 0.0119926 0.0187321 0 0 0 0 0 0 0.107489 0.126222 0.146456 0.168184 0.191406 
2.03414e-14 0.000981398 0.00391587 0.00880334 0.0156437 0.0244374 0 0 0 0 0 0 0.140402 0.164893 0.191315 0.219683 0.25 
4.85549e-15 0.00123882 0.00494926 0.0111309 0.019783 0.0309043 0.0444911 0 0 0 0 0.149272 0.177782 0.208743 0.242164 0.278051 0.316406 
4.44089e-16 0.00152707 0.00610544 0.0137345 0.0244134 0.0381406 0.0549137 0.0747289 0.0975867 0.123517 0.152401 0.184447 0.219577 0.257764 0.299001 0.343288 0.390625 
-6.99787e-15 0.00184631 0.00738474 0.0166147 0.0295354 0.0461458 0.0664446 0.0904307 0.118105 0.149472 0.184514 0.22328 0.265761 0.311943 0.361821 0.415392 0.472656 
8.61117e-15 0.00219657 0.00878722 0.0197714 0.0351487 0.0549182 0.0790795 0.107632 0.140577 0.177915 0.219647 0.265786 0.31633 0.371277 0.430622 0.494363 0.5625 
4.47559e-15 0.0025778 0.0103127 0.0232044 0.0412524 0.0644564 0.0928161 0.126331 0.165003 0.208832 0.25782 0.311971 0.371287 0.435764 0.505403 0.5802 0.660156 
-7.56339e-16 0.0029899 0.011961 0.0269131 0.0478459 0.0747592 0.107653 0.146527 0.191383 0.242219 0.299039 0.361843 0.430632 0.505406 0.586163 0.672903 0.765625 
1.80411e-16 0.00343276 0.0137319 0.0308972 0.0549286 0.085826 0.123589 0.168219 0.219715 0.278077 0.343307 0.415404 0.49437 0.580203 0.672904 0.772472 0.878906 
0 0.00390625 0.015625 0.0351563 0.0625 0.0976562 0.140625 0.191406 0.25 0.316406 0.390625 0.472656 0.5625 0.660156 0.765625 0.878906 1 
];
exact = [
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 1.52588e-05 6.10352e-05 0.000137329 0.000244141 0.00038147 0.000549316 0.000747681 0.000976562 0.00123596 0.00152588 0.00184631 0.00219727 0.00257874 0.00299072 0.00343323 0.00390625 
0 6.10352e-05 0.000244141 0.000549316 0.000976562 0.00152588 0.00219727 0.00299072 0.00390625 0.00494385 0.00610352 0.00738525 0.00878906 0.0103149 0.0119629 0.0137329 0.015625 
0 0.000137329 0.000549316 0.00123596 0.00219727 0.00343323 0.00494385 0.00672913 0.00878906 0.0111237 0.0137329 0.0166168 0.0197754 0.0232086 0.0269165 0.030899 0.0351562 
0 0.000244141 0.000976562 0.00219727 0.00390625 0.00610352 0.00878906 0 0 0 0 0.029541 0.0351562 0.0412598 0.0478516 0.0549316 0.0625 
0 0.00038147 0.00152588 0.00343323 0.00610352 0.00953674 0 0 0 0 0 0 0.0549316 0.0644684 0.0747681 0.0858307 0.0976562 
0 0.000549316 0.00219727 0.00494385 0.00878906 0.0137329 0 0 0 0 0 0 0.0791016 0.0928345 0.107666 0.123596 0.140625 
0 0.000747681 0.00299072 0.00672913 0.0119629 0.018692 0 0 0 0 0 0 0.107666 0.126358 0.146545 0.168228 0.191406 
0 0.000976562 0.00390625 0.00878906 0.015625 0.0244141 0 0 0 0 0 0 0.140625 0.165039 0.191406 0.219727 0.25 
0 0.00123596 0.00494385 0.0111237 0.0197754 0.030899 0.0444946 0 0 0 0 0.149551 0.177979 0.208878 0.242249 0.278091 0.316406 
0 0.00152588 0.00610352 0.0137329 0.0244141 0.038147 0.0549316 0.0747681 0.0976562 0.123596 0.152588 0.184631 0.219727 0.257874 0.299072 0.343323 0.390625 
0 0.00184631 0.00738525 0.0166168 0.029541 0.0461578 0.0664673 0.0904694 0.118164 0.149551 0.184631 0.223404 0.265869 0.312027 0.361877 0.415421 0.472656 
0 0.00219727 0.00878906 0.0197754 0.0351562 0.0549316 0.0791016 0.107666 0.140625 0.177979 0.219727 0.265869 0.316406 0.371338 0.430664 0.494385 0.5625 
0 0.00257874 0.0103149 0.0232086 0.0412598 0.0644684 0.0928345 0.126358 0.165039 0.208878 0.257874 0.312027 0.371338 0.435806 0.505432 0.580215 0.660156 
0 0.00299072 0.0119629 0.0269165 0.0478516 0.0747681 0.107666 0.146545 0.191406 0.242249 0.299072 0.361877 0.430664 0.505432 0.586182 0.672913 0.765625 
0 0.00343323 0.0137329 0.030899 0.0549316 0.0858307 0.123596 0.168228 0.219727 0.278091 0.343323 0.415421 0.494385 0.580215 0.672913 0.772476 0.878906 
0 0.00390625 0.015625 0.0351562 0.0625 0.0976562 0.140625 0.191406 0.25 0.316406 0.390625 0.472656 0.5625 0.660156 0.765625 0.878906 1 
];
err = [
0 0 1.6263e-19 -3.63099e-16 1.06264e-15 5.19193e-15 -1.33243e-15 -2.62865e-15 4.21757e-15 -2.10929e-15 -1.26069e-15 5.06331e-15 -1.04704e-14 1.55928e-14 2.76442e-15 -9.38542e-16 0 
-2.1684e-19 3.02131e-06 6.22607e-06 9.6779e-06 1.30976e-05 1.54391e-05 1.43177e-05 6.03734e-06 -1.15189e-05 -3.20314e-05 -4.73289e-05 -4.89062e-05 -4.18991e-05 -3.16309e-05 -2.07919e-05 -1.02463e-05 0 
5.82759e-17 5.85919e-06 1.22051e-05 1.93879e-05 2.72735e-05 3.43412e-05 3.57943e-05 2.13506e-05 -2.00817e-05 -6.92777e-05 -0.000108378 -0.000106397 -8.70592e-05 -6.38325e-05 -4.12904e-05 -2.01935e-05 0 
9.97466e-17 8.21037e-06 1.73471e-05 2.8395e-05 4.22674e-05 5.88579e-05 7.31677e-05 6.36524e-05 -2.08808e-05 -0.00011662 -0.000210509 -0.000181244 -0.000136108 -9.53494e-05 -6.03439e-05 -2.92371e-05 0 
3.64498e-15 9.63522e-06 2.05779e-05 3.45777e-05 5.45431e-05 8.56554e-05 0.000134366 0 0 0 0 -0.000271964 -0.00018078 -0.000121113 -7.54985e-05 -3.64111e-05 0 
-8.1532e-16 9.75256e-06 2.07518e-05 3.47946e-05 5.56719e-05 9.48543e-05 0 0 0 0 0 0 -0.000193933 -0.000132825 -8.41256e-05 -4.09089e-05 0 
2.1207e-16 8.62326e-06 1.78819e-05 2.81772e-05 3.84957e-05 4.04203e-05 0 0 0 0 0 0 -0.000172084 -0.00013213 -8.72697e-05 -4.30989e-05 0 
8.74301e-16 6.85857e-06 1.39754e-05 2.15365e-05 2.97135e-05 4.00909e-05 0 0 0 0 0 0 -0.000177432 -0.000136343 -8.97238e-05 -4.4217e-05 0 
2.03414e-14 4.83562e-06 9.62464e-06 1.42799e-05 1.87309e-05 2.32957e-05 0 0 0 0 0 0 -0.000222724 -0.000146086 -9.10653e-05 -4.40452e-05 0 
4.85549e-15 2.85927e-06 5.40768e-06 7.22741e-06 7.63439e-06 5.25827e-06 -3.55551e-06 0 0 0 0 -0.000279199 -0.000196499 -0.000134211 -8.44066e-05 -4.08985e-05 0 
4.44089e-16 1.1938e-06 1.91941e-06 1.58773e-06 -6.78997e-07 -6.34155e-06 -1.79398e-05 -3.91959e-05 -6.95529e-05 -7.92541e-05 -0.000186474 -0.000184755 -0.00014986 -0.000109855 -7.14511e-05 -3.5142e-05 0 
-6.99787e-15 -3.4996e-09 -5.11579e-07 -2.11691e-06 -5.59655e-06 -1.20057e-05 -2.26664e-05 -3.86474e-05 -5.89321e-05 -7.96143e-05 -0.000117223 -0.000123485 -0.000108331 -8.38973e-05 -5.64007e-05 -2.82187e-05 0 
8.61117e-15 -6.96215e-07 -1.84531e-06 -3.94726e-06 -7.58464e-06 -1.34182e-05 -2.20725e-05 -3.37953e-05 -4.79139e-05 -6.30483e-05 -7.93166e-05 -8.36317e-05 -7.60823e-05 -6.10027e-05 -4.20357e-05 -2.1332e-05 0 
4.47559e-15 -9.36053e-07 -2.22618e-06 -4.24216e-06 -7.37658e-06 -1.20098e-05 -1.84103e-05 -2.65471e-05 -3.58802e-05 -4.53482e-05 -5.33639e-05 -5.56428e-05 -5.13639e-05 -4.19953e-05 -2.94073e-05 -1.50736e-05 0 
-7.56339e-16 -8.21814e-07 -1.8812e-06 -3.41864e-06 -5.66968e-06 -8.83427e-06 -1.30118e-05 -1.81028e-05 -2.37113e-05 -2.91005e-05 -3.31481e-05 -3.42119e-05 -3.17351e-05 -2.62072e-05 -1.85249e-05 -9.5549e-06 0 
1.80411e-16 -4.69999e-07 -1.05818e-06 -1.88152e-06 -3.04925e-06 -4.64579e-06 -6.69965e-06 -9.14105e-06 -1.17617e-05 -1.41946e-05 -1.5916e-05 -1.63213e-05 -1.51575e-05 -1.25737e-05 -8.92994e-06 -4.62121e-06 0 
0 0 4.39926e-15 2.42167e-15 -1.64729e-14 -7.38298e-15 -4.91829e-14 -5.2458e-14 8.74856e-14 -4.9738e-14 -3.65263e-14 6.28941e-14 -2.15272e-13 -1.58873e-13 -7.88258e-15 0 0 
];
